测量值量化的时滞系统的输出反馈控制

为了解决无线网络带宽限制的问题,信号在传输之前需要进行量化,但是量化器的引入会给信号带来一定的误差.针对时滞系统,研究测量值量化的基于观测器的输出反馈控制问题.考虑对数量化器,为了研究量化器对系统的影响,引入上行界的方法,将对数量化问题转化成鲁棒不确定问题.为了讨论系统的收敛速度,采用带有衰减系数的Lyapunov函数,得到了闭环系统的指数衰减率.采用线性矩阵不等式(LMI)的方法给出了系统满足指数稳定的充分条件以及控制器和观测器增益的表达式.应用数值仿真证明了本文算法的有效性.

Output feedback control for time delay system with quantized measurement

The signal must be quantized before transmission in order to solve the problem of the capacity constraint in network control system, but the quantization will bring error to the signal. The observer based output feedback control with quantized measurement was conducted aimed at the time delay system. The logarithmic quantizer was considered. The sector bound method was introduced to analyze the influence of the quantizer on the system. Then the logarithmic quantizer problem was transformed into the robust problem. The Lyapunov function with decay parameter was adopted to analyze the system convergence rate, and the exponential decay rate of closed loop system was obtained. The sufficient condition of exponential stability was given based on the linear matrix inequality (LMI) approach, and the gains of controller and observer were derived. Numerical results illustrated that the approach is effective and feasible.